Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions

Abstract

Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the $N$-fermion canonical partition function on the positive real $\beta$ axis (or very close to it), even for a small number of particles. This results in a singular free energy, and instability in other thermal properties of the system. In the context of trapped fermions in a harmonic oscillator, these zeros are shown to be unphysical. By contrast, similar bosonic calculations with continuous density of states yield sensible results.Noninteracting fermions, placed in a system with a continuous density of states yield sensible results.

5 pages and 5 figures

References in corpus (2)

• The Thermodynamic Model for Nuclear Multifragmentation
• Phase transition strengths from the density of partition function zeroes

Cited by in corpus (5)

• Lee-Yang zeros and two-time spin correlation function
• Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
• Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin
• Probing the Lee-Yang zeros of a spin bath by correlation functions and entanglement of two spins
• Time correlation functions and Fisher zeros for q-deformed Bose gas